1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vladimir [108]
1 year ago
10

Find the sum of the infinite geometric sequence that begins 1/12, 1/18, 1/27, …

Mathematics
1 answer:
Agata [3.3K]1 year ago
7 0

Answer:

  1/4

Step-by-step explanation:

The sum of an infinite geometric series is given by the formula ...

  S = a/(1 -r)

where 'a' is the first term, and r is the common ratio.

<h3>Application</h3>

Here, the first term is 1/12, and the common ratio is ...

  (1/18)/(1/12) = 12/18 = 2/3

Then the sum is ...

  S = (1/12)/(1 -2/3) = (1/12)/(1/3) = 3/12 = 1/4

The sum of the infinite series is 1/4.

You might be interested in
You are scheduled to receive $38,000 in two years. when you receive it, you will invest it for 10 more years at 6.0 percent per
zzz [600]
The answer is chickens because the coopis full of eggs.
3 0
3 years ago
Kelsey is putting on sunscreen. She uses 3 ml to cover 45cm to the power of 2 of her skin. She want to know how many milliliters
Artemon [7]

Answer: She would require 16 ml cover 240cm^2 of her skin

Step-by-step explanation:

Let m represent the milliliters of sunscreen required to cover her skin.

Let a represent the area of her skin that was covered. She assumes the the relationship between milliliters of sunscreen and the area is proportional. Introducing the constant of variation, k, the expression becomes

m = ka

She uses 3 ml to cover 45cm^2 of her skin. Therefore,

3 = k × 45

k = 3/45 = 1/15

The expression becomes

m = a/15

The milliliters of sunscreen that Kelsey needs to cover 240cm to the power of 2 of her skin would be

m = 240/15

m = 16 ml

4 0
3 years ago
Which equation contains the points (-1,-8) and (3,4)
katrin [286]

Answer:

y = 3x –5

Step-by-step explanation:

for slope-intercept form, y = mx + b

find the slope, m

(-8 -4)/(-1-3) = m

-12/-4 =m

3 = m

Substitute for m and use either coordinate for y and x to calculate b

4 = 3(3) + b

4 = 9 + b. Subtract 9 from both sides

4 –9 = b

–5 = b. Rewrite the equation with the calculated values for m and b

y = 3x –5

8 0
3 years ago
Point A (4,-3) is reflected over the y- axis. What are<br> the coordinates of A'?
yan [13]

Answer:

A'(-4,-3)

Step-by-step explanation:

use formula of reflection over y axis

(x,y)=(-x,y)

A(4,-3)=A'(-4,-3)

5 0
2 years ago
Read 2 more answers
Help please! Will give brainiest if correct!
frosja888 [35]
Slope is 3/4
You are welcome
4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the answer 4x&gt;8
    9·1 answer
  • Identify the features of the graph
    15·1 answer
  • The total annual premium for health insurances for Brooke is $8340. Her employer pay 70% of the premium and deducts the remainde
    5·1 answer
  • Write the ratio: 5/3 to 5/4 as a fraction in lowest term
    15·1 answer
  • 1. Which angles in the picture are NOT supplementary
    6·2 answers
  • Find the values of y=m(x)=-sqroot-x for
    8·2 answers
  • WILL GIVE BRAINLIEST
    7·1 answer
  • Suppose that $2000 is loaned at a rate of 19.5%, compounded semiannually. Assuming that no payments are made, find the amount ow
    8·1 answer
  • Abdul deposited $460 into a savings account that has a simple interest rate of 3.5%. Isaac deposited $550 into a savings account
    10·1 answer
  • do you guys know what this is? the answer should have y = answer. When I tried to solve it, I got zero. Is that correct? Here's
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!